What is the Least Common Multiple of 15040 and 15048?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 15040 and 15048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15040 and 15048, than apply into the LCM equation.

GCF(15040,15048) = 8
LCM(15040,15048) = ( 15040 × 15048) / 8
LCM(15040,15048) = 226321920 / 8
LCM(15040,15048) = 28290240

Least Common Multiple (LCM) of 15040 and 15048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15040 and 15048. First we will calculate the prime factors of 15040 and 15048.

Prime Factorization of 15040

Prime Factorization of 15048

Now multiplying the highest exponent prime factors to calculate the LCM of 15040 and 15048.

LCM(15040,15048) = 2⁶ × 5¹ × 47¹ × 3² × 11¹ × 19¹
LCM(15040,15048) = 28290240